Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices, with P(A) = 0.5, P(B) = 0.2, and P(C) = 0.3. Among the next 10 customers, let X = the number who pay with a debit card. %3D %3D a) What distribution does X have? b) Compute P(X 1) and P(X > 8). %3D c) Find the expected value and variance of X. d) Compute E(X²). e) Let Y = the number among the 10 who don't pay with cash. Find the expected value and variance of Y.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

step-by-step explanation:

the answer is c. ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

answer: c

step-by-step explanation